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math-ph2026
Quantization as a Categorical Equivalence for Hilbert Bimodules and Lagrangian Relations
Benjamin H. Feintzeig
It is well known that classical and quantum theories carry distinct types of representations, each type of representation corresponding to possible values of generalized charges in…
math-ph2024
Classical Limits of Hilbert Bimodules as Symplectic Dual Pairs
Benjamin H. Feintzeig, Jer Steeger
Hilbert bimodules are morphisms between C*-algebraic models of quantum systems, while symplectic dual pairs are morphisms between Poisson geometric models of classical systems. Bot…
math-ph2024
Quantization as a Categorical Equivalence
Benjamin H. Feintzeig
We demonstrate that, in certain cases, quantization and the classical limit provide functors that are "almost inverse" to each other. These functors map between categories of algeb…